diff --git a/runtime/native/win32.ll b/runtime/native/win32.ll
index 3b9674cf..0bdc3fac 100644
--- a/runtime/native/win32.ll
+++ b/runtime/native/win32.ll
@@ -128,6 +128,43 @@ def:
   ret i64 %r
 }
 
+declare i32 @GetDpiForSystem()
+declare i32 @GetDpiForWindow(ptr)
+
+; The display's scale as a whole number, the way macOS reports a backing scale: 96 dpi
+; is 1, 175% (168 dpi) and 200% are 2, 300% is 3 - rounded, then brought down until a
+; client area of w x h at that scale fits on the primary display. Shared with
+; win32_gl.ll. A window of "960 x 540" is then the same size on the desk on a 4K
+; panel as on a 1080p one, which is what a game asking for 960 x 540 means.
+define i32 @w_fit_scale(i32 %dpi, i32 %w, i32 %h) {
+entry:
+  %d0 = icmp slt i32 %dpi, 96
+  %d = select i1 %d0, i32 96, i32 %dpi
+  %d48 = add i32 %d, 48
+  %s0 = sdiv i32 %d48, 96
+  %sw = call i32 @GetSystemMetrics(i32 0)
+  %sh = call i32 @GetSystemMetrics(i32 1)
+  br label %fit
+fit:
+  %s = phi i32 [ %s0, %entry ], [ %s1, %shrink ]
+  %one = icmp sle i32 %s, 1
+  br i1 %one, label %done, label %test
+test:
+  %cw = mul i32 %w, %s
+  %ch = mul i32 %h, %s
+  %wide = icmp sgt i32 %cw, %sw
+  %tall = icmp sgt i32 %ch, %sh
+  %over = or i1 %wide, %tall
+  br i1 %over, label %shrink, label %done
+shrink:
+  %s1 = sub i32 %s, 1
+  br label %fit
+done:
+  %r0 = icmp slt i32 %s, 1
+  %r = select i1 %r0, i32 1, i32 %s
+  ret i32 %r
+}
+
 define void @win_open(i32 %w, i32 %h, i32 %scale, ptr %title) {
 entry:
   %wc = alloca [80 x i8], align 8
@@ -142,6 +179,13 @@ entry:
 make:
   ; DPI_AWARENESS_CONTEXT_PER_MONITOR_AWARE_V2 = -4
   %dpi = call i32 @SetProcessDpiAwarenessContext(ptr inttoptr (i64 -4 to ptr))
+  ; the framebuffer's own scale, times the display's
+  %sysdpi = call i32 @GetDpiForSystem()
+  %gw = mul i32 %w, %scale
+  %gh = mul i32 %h, %scale
+  %ds = call i32 @w_fit_scale(i32 %sysdpi, i32 %gw, i32 %gh)
+  %scale2 = mul i32 %scale, %ds
+  store i32 %scale2, ptr @W_scale
   %inst = call ptr @GetModuleHandleA(ptr null)
   ; WNDCLASSEXA: cbSize 0, style 4, lpfnWndProc 8, hInstance 24, hCursor 40, lpszClassName 64
   call void @llvm.memset.p0.i64(ptr %wc, i8 0, i64 80, i1 false)
@@ -158,9 +202,9 @@ make:
   %wcn = getelementptr i8, ptr %wc, i64 64
   store ptr @.w_class, ptr %wcn
   %atom = call i16 @RegisterClassExA(ptr %wc)
-  ; the client area is w*scale x h*scale pixels; the frame goes round it
-  %pw = mul i32 %w, %scale
-  %ph = mul i32 %h, %scale
+  ; the client area is w x h at both scales; the frame goes round it
+  %pw = mul i32 %gw, %ds
+  %ph = mul i32 %gh, %ds
   call void @llvm.memset.p0.i64(ptr %rc, i8 0, i64 16, i1 false)
   %rcr = getelementptr i8, ptr %rc, i64 8
   store i32 %pw, ptr %rcr
diff --git a/runtime/native/win32_gl.ll b/runtime/native/win32_gl.ll
index ee526f79..83b32f0a 100644
--- a/runtime/native/win32_gl.ll
+++ b/runtime/native/win32_gl.ll
@@ -6,11 +6,16 @@
 ; entry-point table). A headless build links gl_win_nowin.ll in its place.
 ;
 ;   win_gl_attach() -> ok      the context on the window's DC (0 = no window yet)
-;   win_gl_resize(w, h)        client area of w x h pixels, centred
+;   win_gl_resize(w, h)        a client area of w x h at the display's scale, centred
 ;   win_gl_swap()              SwapBuffers, paced by the swap interval
-;   win_gl_scale() -> 1        the process is DPI aware: one pixel is one pixel
+;   win_gl_scale() -> int      pixels per window unit: 1 at 100%, 2 at 175-200%, ...
 ;   win_gl_drawable(out)       the client area in pixels
 ;   win_toggle_fullscreen()    borderless, over the monitor the window is on
+;
+; The units follow cocoa.ll's points and backing pixels: a game asks for a 960 x 540
+; window, the display's whole-number scale (w_fit_scale, win32.ll) turns that into
+; pixels, win_gl_scale reports the factor as the Retina backing scale is reported,
+; and the mouse keeps arriving in the game's own units because W_scale divides by it.
 ; ============================================================================
 
 @W_hwnd  = external global ptr
@@ -19,6 +24,7 @@
 @W_fbh   = external global i32
 @W_scale = external global i32
 
+declare i32 @w_fit_scale(i32, i32, i32)
 declare ptr @lgl_wgl_core(ptr, i32)
 declare ptr @wglGetProcAddress(ptr)
 declare i32 @SwapBuffers(ptr)
@@ -26,6 +32,7 @@ declare i32 @GetClientRect(ptr, ptr)
 declare i32 @AdjustWindowRectEx(ptr, i32, i32, i32)
 declare i32 @SetWindowPos(ptr, ptr, i32, i32, i32, i32, i32)
 declare i32 @GetSystemMetrics(i32)
+declare i32 @GetDpiForWindow(ptr)
 declare i64 @GetWindowLongPtrA(ptr, i32)
 declare i64 @SetWindowLongPtrA(ptr, i32, i64)
 declare i32 @GetWindowRect(ptr, ptr)
@@ -36,6 +43,7 @@ declare void @llvm.memset.p0.i64(ptr, i8, i64, i1)
 @.wgl_swapint = private unnamed_addr constant [19 x i8] c"wglSwapIntervalEXT\00"
 
 @W_glctx    = internal global ptr null
+@W_glscale  = internal global i32 1
 @W_fs       = internal global i32 0
 @W_fs_style = internal global i64 0
 @W_fs_rect  = internal global [4 x i32] zeroinitializer
@@ -71,18 +79,23 @@ entry:
   %nowin = icmp eq ptr %hwnd, null
   br i1 %nowin, label %out, label %go
 go:
+  %dpi = call i32 @GetDpiForWindow(ptr %hwnd)
+  %s = call i32 @w_fit_scale(i32 %dpi, i32 %w, i32 %h)
+  store i32 %s, ptr @W_glscale
   store i32 %w, ptr @W_fbw
   store i32 %h, ptr @W_fbh
-  store i32 1, ptr @W_scale
+  store i32 %s, ptr @W_scale
   %fs = load i32, ptr @W_fs
   %isfs = icmp ne i32 %fs, 0
   br i1 %isfs, label %out, label %size
 size:
+  %pw = mul i32 %w, %s
+  %ph = mul i32 %h, %s
   call void @llvm.memset.p0.i64(ptr %rc, i8 0, i64 16, i1 false)
   %rcr = getelementptr i8, ptr %rc, i64 8
-  store i32 %w, ptr %rcr
+  store i32 %pw, ptr %rcr
   %rcb = getelementptr i8, ptr %rc, i64 12
-  store i32 %h, ptr %rcb
+  store i32 %ph, ptr %rcb
   %style64 = call i64 @GetWindowLongPtrA(ptr %hwnd, i32 -16)   ; GWL_STYLE
   %style = trunc i64 %style64 to i32
   %adj = call i32 @AdjustWindowRectEx(ptr %rc, i32 %style, i32 0, i32 0)
@@ -124,7 +137,8 @@ out:
 
 define i32 @win_gl_scale() {
 entry:
-  ret i32 1
+  %s = load i32, ptr @W_glscale
+  ret i32 %s
 }
 
 ; 1 = vsync (set at attach), 0 = free-running; wglSwapIntervalEXT is a driver extension,
@@ -147,6 +161,8 @@ out:
   ret void
 }
 
+; the client area in pixels -> out[0], out[1]; and the window size in the game's units,
+; which the mouse mapping divides by, kept in step with a window the player resized
 define void @win_gl_drawable(ptr %out) {
 entry:
   %rc = alloca [16 x i8], align 4
@@ -162,14 +178,18 @@ go:
   store i32 %w, ptr %out
   %o1 = getelementptr i32, ptr %out, i32 1
   store i32 %h, ptr %o1
-  ; a minimised window has no client area; keep the last real size for the mouse mapping
+  ; a minimised window has no client area; keep the last real size
   %zw = icmp sle i32 %w, 0
   %zh = icmp sle i32 %h, 0
   %gone = or i1 %zw, %zh
   br i1 %gone, label %done, label %track
 track:
-  store i32 %w, ptr @W_fbw
-  store i32 %h, ptr @W_fbh
+  %s = load i32, ptr @W_glscale
+  %uw = sdiv i32 %w, %s
+  %uh = sdiv i32 %h, %s
+  store i32 %uw, ptr @W_fbw
+  store i32 %uh, ptr @W_fbh
+  store i32 %s, ptr @W_scale
   br label %done
 done:
   ret void
@@ -186,9 +206,9 @@ entry:
   ret void
 }
 
-; The Retina switch: on Windows the process is DPI aware and always draws one pixel per
-; screen pixel, which is what "on" means on macOS; there is no lower-resolution surface
-; for "off" to fall back to, so it changes nothing.
+; The Retina switch. The process is DPI aware and always draws one pixel per screen
+; pixel, which is what "on" means on macOS; there is no lower-resolution surface for
+; "off" to fall back to, so it changes nothing here.
 define void @win_gl_retina(i32 %on) {
 entry:
   ret void